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Finding the Fourth Proportional to 1,249.37, 1,870.57 and 811.13

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Solution

The fourth proportional to 1,249.37, 1,870.57 and 811.13 is: 1,214.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.37 : 1,870.57 = 811.13 : x
  2. Step 2: Convert to fraction form
    1,249.37/1,870.57 = 811.13/x
  3. Step 3: Cross multiply
    1,249.37x = 1,870.57 × 811.13
  4. Step 4: Simplify right side
    1,249.37x = 1,517,264.06
  5. Step 5: Solve for x
    x = 1,517,264.06/1,249.37
  6. Step 6: Final answer
    x = 1,214.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.